Variation formulas for principal functions, II: Applications to variation for harmonic spans

DOI10.1215/00277630-1431822zbMath1234.32008arXiv1012.0208OpenAlexW2964133851MaRDI QIDQ3115815

Sachiko Hamano, Fumio Maitani, Hiroshi Yamaguchi

Publication date: 11 February 2012

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.0208

zbMATH Keywords

subharmonic functionpseudoconvex domain

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Pseudoconvex domains (32T99)

Related Items (4)

Log-plurisubharmonicity of metric deformations induced by Schiffer and harmonic spans ⋮ \(C^1\) subharmonicity of harmonic spans for certain discontinuously moving Riemann surfaces ⋮ Conformal Embeddings of an Open Riemann Surface into Another — A Counterpart of Univalent Function Theory — ⋮ Variation formulas for principal functions, II: Applications to variation for harmonic spans

Cites Work

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• Variations of pseudoconvex domains over \({\mathbb{C}}^ n\)
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• Subharmonic variation of the leafwise Poincaré metric
• \(C^1\) subharmonicity of harmonic spans for certain discontinuously moving Riemann surfaces
• Variation formulas for \(L_{1}\)-principal functions and application to simultaneous uniformization problem
• Immersion of open Riemann surfaces
• The span of multiply connected domains
• Variation formulas for principal functions, II: Applications to variation for harmonic spans
• Envelopes of Holomorphy of Certain 2-Spheres in C 2*
• The metric induced by the Robin function

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